Answer:
[tex]a^{2} + 5a -24[/tex]
Step-by-step explanation:
For the distributive property, it is like multiplying each term by the other whole group.
For this problem we can set it up like this:
a(a-3) + 8(a-3) =
a^2 - 3a + 8a - 24 =
a^2 + 5a - 24
The endpoints of CD are (-2,-4) and D(6,2). What are the coordinates of the midpoints of CD
Answer:
(2,-1)
Step-by-step explanation:
[tex]midpoint = ( \frac{ - 2 + 6}{2} , \frac{ - 4 + 2}{2} ) \\ [/tex]
[tex]midpoint = ( \frac{4}{2} , \frac{ - 2}{2} ) \\ [/tex]
[tex]midpoint = (2, - 1)[/tex]
order the following number least to greatest /9, 0.9 , -8/9, /3, -1.8
0.9, /3, /9, -8/9, -1.8
Which will result in a difference of squares? (negative 7 x 4)(negative 7 x 4) (negative 7 x 4)(4 minus 7 x) (negative 7 x 4)(negative 7 x minus 4) (negative 7 x 4)(7 x minus 4)
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that will result in the difference in the squares is (7x+4)(7x-4).
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The difference between the squares can be written as,
[tex]a^2-b^2=(a+b)(a-b)[/tex]
The expression that will result in the difference in the squares will be
[tex](7x+4)(7x-4)=(7x)^2-(4)^2[/tex]
Thus, the expression that will result in the difference in the squares is (7x+4)(7x-4).
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For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?
law of sines
law of cosines
neither law can be used
both laws can be used
Neither the laws of sines nor the law of cosines can be used to solve the triangle. The correct option is the third option - neither law can be used
Solving trianngles using the laws of sines & cosinesThe law of sines is written as
[tex]\frac{sinA}{a}=\frac{sinB}{b}= \frac{sinC}{c}[/tex]
Where a,b, and c are sides of any given triangle and A,B, and C are the angles.
This law is used when we are given either
Two angles and one side, orTwo sides and a non-included angleThe law of cosines is written as
a² = b² + c² -2bc cosA, or
b² = a² + c² - 2ac cosB, or
c² = a² + b² -2ab cosC
Where a,b, and c are sides of any given triangle and A,B, and C are the angles.
This law is used when we are given either
Three sides orTwo sides and the included angleNow, for triangle xyz, which the measures of angles X,Y, and Z are known, neither law can be used to solve the triangle.
Hence, neither the laws of sines nor the law of cosines can be used to solve the triangle. The correct option is the third option - neither law can be used
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What is The D angle?
How do you write 19/20 as a decimal
Answer:
0.95
Step-by-step explanation:
Fish weighs 135 pds the scale has error of up to 5%. What is the answer
A survey participant is randomly selected. Let S be the event that the participant prefers soccer and let T be the event that the participant prefers a T-shirt. What is the value of P(S and T)
Answer:
C. 0.26
Step-by-step explanation:
Find The Mode Of The Data 2, 4, 5, 6, 7, 2, 3, 4.
Answer:
2 and 4 is repeated mode of the data
Answer:
2 and 4
Step-by-step explanation:
The mode is the value of highest frequency in the data set2 and 4 each repeat twice whereas all other numbers only appear once2 and 4 are the modeIn ΔPQR, ∠P and ∠Q are complementary angles.
.
Answer:
P + Q = 90
P = 90 - Q
Cos (p) = cos (90-Q) = sinQ = 4/5 (given)
You can find CosQ from the triangle of Q
CosQ = sqrt (5^2 - 4^2) / 5 = 3/5
Required = CosP + CosQ = 4/5 + 3/5 = 7/5
Step-by-step explanation:
hope this helps if not please let me now
Answer:
P + Q = 90
P = 90 - Q
Cos (p) = cos (90-Q) = sinQ = 4/5 (given)
You can find CosQ from the triangle of Q
CosQ = sqrt (5^2 - 4^2) / 5 = 3/5
Required = CosP + CosQ = 4/5 + 3/5 = 7/5
Step-by-step explanation:
PLEASE HELP!! I NEED HELP ON MY MATH
Answer:
750 and 3.125
Step-by-step explanation:
a = 750
b= 3.125
Todd is 33 years old; his nephew Jacob is 12. In how many years will Jacob be ½ his uncle Todd's age?
Answer:
9 years
Step-by-step explanation:
Jacob will be half his uncle's age when his age is equal to the difference in their ages.
__
The difference is 33 -12 = 21 years. Jacob will be half Todd's age in 21 -12 = 9 years, when Jacob is 21 and Todd is 42.
Starbucks Coffee Co. Uses a data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that Starbucks needed to improve its package-sealing process, an experiment was conducted to determine the factors in the bag-sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. (Data extracted from L. Johnson and S. Burrows, "For Starbucks, Itâs in the Bag," Quality Progress, March 2011, pp. 17â23. ) One factor that could affect the rating of the ability of the bag to resist tears was the plate gap on the bag-sealing equipment. Data were collected on 19 bags in which the plate gap was varied. The results are stored in Starbucks.
a. Construct a scatter plot.
b. Assuming a linear relationship, use the least-squares method to determine the regression coefficients b0 and b1.
c. Interpret the meaning of the slope, b1, in this problem.
d. Predict the mean tear rating when the plate gap is equal to 0.
e. What should you tell management of Starbucks about the relationship between the plate gap and the tear rating?
When there's a linear relationship, the least-squares method to determine the regression coefficients b0 and b1 will be y = 0.750 + 0.50x.
How to interpret the slope?The meaning of the slope, b1, in this problem is the coefficient of x which is the slope. Here, b1 = 0.50. It implies that one unit change in x will be 0.5 unit change in y.
To predict the mean tear rating when the plate gap is equal to 0 goes thus:
y = 0.75 + (0.05 × 0)
y = 0.75 + 0
y = 0.75
Lastly, the relationship between the plate gap and the tear rating is a positive one.
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Sofia used colorful glass beads to make a
bracelet. She repeated the same pattern
of colored beads six times. If the length of
one pattern measures three fourths of an
inch in length, what is the total length of
the bracelet Sofia made?
Answer:
11.424cm
Step-by-step explanation:
3/4 of an inch = length of one pattern.
3/4 = 0.75 ( 1.905cm)
1.905 x 6 = 11.424cm
The total length of the bracelet Sofia made is 11.424 centimetres.
Note: I am not sure if this is completely right and meant to be in cm but I tried to help :)
What’s the answer????
Answer:
5
Step-by-step explanation:
If ur good with fractions percentages and decimals this one is for you !!!!
Check pic
Thanks :] xx
Answer:
1 20%, 0.2
2 1/4, 0.25
3 50%, 0.5
4 6/9
Step-by-step explanation:
Please answer number 11 thank you
The sum of the squares of two positive numbers is 29 and the difference of the squares of the numbers is 21.
Plant cells and animal cells were observed under a microscope. The characteristics of two cells are listed below.
Cell A: Has a cell wall
Cell B: Has chloroplast
Which statement about the two cells is correct?
Both cells are plant cells.
Both cells are animal cells.
Cell A is a plant cell and Cell B is an animal cell.
Cell A is an animal cell and Cell B is a plant cell.
Answer:
The answer is Cell A is a plant cell and Cell B is a plant cell because plant cells have cell walls and they also a chloroplast
Step-by-step explanation:
I really hope this helps
Answer: the first one
Step-by-step explanation: "Both cells are plant cells."
3k^2+12k-7kn-28n square meters and a length of 3k-7n meters.
What expression represents the width of the rectangle?
Step-by-step explanation:
here ! I used the formula area = length × width
and just some algrbric expressions solving
nicole sells breaded necklaces .each large necklace sells for $5.30 and each necklace sells for $3.80 . how much will she earn from selling 4 large necklaces and 6 small necklaces
Answer:
$41.60
Step-by-step explanation:
5.30 *4= 21.20
6*3.80=20.40
20.40+21.20=41.60
Need help
1000x+27x+5.5=9236
Answer:
x = 8.98782862707
Step-by-step explanation:
Base on the given we can infer that we are solving for x:
Given equation:
1000x+27x+5.5=9236
Combine similar terms
1027x + 5.5 = 9236
Subtract both side by 5.5
1027x + 5.5 = 9236
-5.5 -5.5
-------------------------------------
1027x = 9230.5
Now divide both sides by 1027x
9230.5 / 1027
x = 8.98782862707
[RevyBreeze]
Complete the following statement.
The money used in Jordan is called the dinar. The exchange rate is US $3 to 2 Jordanian dinars. To receive 22 dinars, you need to exchange
U.S. dollars.
Answer:
$33
Step-by-step explanation:
$3 = 2 Dinars
$x = 22 Dinars
3/2 = x/22
multiply 3 by 22 and divide by 2
multiply 2 by x and divide 2
which will give answer to $33.
Don't know if it makes sense
On the last day of vacation, the Hernandez family drove 252 miles from a state park to their home. That drive covered 35% of the total distance the family traveled during their vacation. What is the total distance the Hernandez family traveled during their vacation
Answer:
720 miles
Step-by-step explanation:
We are given a distance and a fraction of the total that it represents. This lets us write the relation ...
252 = 0.35D . . . . . . where D is the total distance traveled
252/0.35 = D = 720 . . . . divide by the coefficient of D
The Hernandez family traveled 720 miles during their vacation.
Pls hurry and help me pls.
What is the equation of this line in slope-intercept form
Slope=
m=5+3/-1-1m=8/-2m=-4Equation in point slope form
y+3=-4(x-1)y+3=-4x+4y=-4x+1Answer:
[tex]y=-4x+1[/tex]
Step-by-step explanation:
We have been given two points on the line, so:
[tex]\textsf{let}\:(x_1,y_1)=(-1,5)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(1,-3)[/tex]
Calculate the slope using the slope formula:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-3-5}{1-(-1)}=-4[/tex]
From inspection of the graph, it appears that the y-intercept (where the line crosses the y-axis) is at (0, 1). However, just to be sure, use the point-slope form of linear equation.
Point-slope form of linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
[tex]\implies y-5=-4(x-(-1))[/tex]
[tex]\implies y-5=-4x-4[/tex]
[tex]\implies y=-4x+1[/tex]
Therefore, the equation of the line in slope-intercept form is:
[tex]y=-4+1[/tex]
To find the area of a circle, take π x 2 x radius.
true or false
Answer:
That statement is true, but you do not always need the two.
Let's say that we had a problem, given the radius is 5, and we have to find the diameter.
First step is to define A
[tex]A = \pi r^2[/tex]
Second, redefine r as the actual radius to avoid confusion.
[tex]r = 5[/tex]
Third, set up an equation with the given values where you are multiplying pi by the radius.
[tex]\pi r^2 = \pi *r^2[/tex]
Fourth but not least, get the actual value.
[tex]\pi * r^2 = 79[/tex] rounded to nearest whole number
im stuck please help
Answer:
it's 720
Step-by-step explanation:
6x10=60x12=720
please help!!! asap!!!
show all the steps that you use to solve this problem in the space provided
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
Answer:
x = 11 cos 22 = 11 * .927 = 10.2
True or False: You can use the Pythagorean Theorem to determine if a triangle is a right triangle or not.
Answer:
True
Step-by-step explanation:
Definitely true. If the shorter legs of the given triangle are a and b and the longest side is c, then if a^2 + b^2 = c^2, the triangle is a right triangle. Otherwise it is not a right triangle.